On principal frequencies and inradius in convex sets

We generalize to the case of the p-Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet p-Laplacian of a convex set in terms of its inradius. We also prove a lower bound in terms of isoperimetric ratios and we...

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Bibliographic Details
Main Author: Lorenzo Brasco
Format: Article
Language:English
Published: University of Bologna 2018-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/8945